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From the law of sines, we have

where
is the leg we're interested in,
is the hypothenuse,
is the angle opposite to
, and
is the angle between
and
.
So, in the first case, we can use

And in the second excercise, we use

Answer:
Step-by-step explanation:
y+ 20= x+ 15( Vertically opposite angles)
y+ 20- 15= x
x= y+ 5 __(1)
3x+ 5=4y- 15
Substituting (1)
3(y+5)+ 5= 4y-15
3y+15+5=4y- 15
y=15+20
y= 35
x= 40
1 + 3 = 4;
9 x 4 = 36;
60 - 36 = 24;
2 x 24 = 48;
14 + 48 = 62;
-6 + 62 = 56.
Answer:
The average rate of change is 
Step-by-step explanation:
The average rate of change from x=a to x=b of f(x) is given by;

We want to find the average rate of change of the function represented in the table from x=-2 to x=2.

From the table f(-2)=25 and f(2)=9
The average rate of change from x=-2 to x=2 is


